IndisputableMonolith.RRF.Hypotheses.EightTick
EightTick defines the Phase datatype for the 8-beat cycle together with lock and balance partitions in the RRF hypotheses. QFT modules on CPT invariance and spin-statistics import it to access the discrete symmetry structure. The module contains only definitions and no theorems or proofs.
claimPhase denotes an element of the 8-element cycle equipped with predicates isLock, isBalance and successor maps next, prev satisfying the partition and disjointness conditions lock_balance_partition and lock_balance_disjoint.
background
The module belongs to RRF.Hypotheses, the umbrella file that collects explicit physical claims rather than proven theorems. It introduces the eight-tick octave (T7) through the Phase type and the auxiliary functions lock_start, lock_end, balance_start, balance_end. The sibling definitions next_prev and lock_balance_disjoint enforce the cyclic order and the separation into two intervals of four ticks.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
EightTick supplies the 8-tick phase structure to QFT.CPTInvariance (CPT invariance from ledger symmetry), QFT.SpinStatistics (spin-statistics theorem from 8-tick phase), and Quantum.Measurement.WavefunctionCollapse (measurement problem from ledger structure). It also populates the RRF.Hypotheses umbrella that documents physical claims with explicit falsification criteria.
scope and limits
- Does not prove any theorems about the 8-tick cycle.
- Does not derive physical predictions or constants from the phase definitions.
- Does not reference J-uniqueness, the phi fixed point, or the forcing chain.
- Does not supply falsification criteria for the phase structure itself.
used by (4)
declarations in this module (19)
-
abbrev
Phase -
def
lock_start -
def
lock_end -
def
balance_start -
def
balance_end -
def
isLock -
def
isBalance -
theorem
lock_balance_partition -
theorem
lock_balance_disjoint -
def
next -
def
prev -
theorem
next_prev -
theorem
prev_next -
structure
TickedTrace -
class
EightTickHypothesis -
structure
LockPhasePrediction -
structure
EightTickFalsifier -
def
validAlternativePeriods -
def
strongFalsifier